Search a number
-
+
3332123028 = 2233132373307
BaseRepresentation
bin1100011010011100…
…0010100110010100
322121012222101111000
43012213002212110
523311010414103
61310350543300
7145400402253
oct30647024624
98535871430
103332123028
11145a995393
1278bb07b30
1341144b740
1423877c79a
151477eaaa3
hexc69c2994

3332123028 has 48 divisors (see below), whose sum is σ = 9303367360. Its totient is φ = 1025268192.

The previous prime is 3332123021. The next prime is 3332123051. The reversal of 3332123028 is 8203212333.

3332123028 is a `hidden beast` number, since 33 + 321 + 2 + 302 + 8 = 666.

It is a super-2 number, since 2×33321230282 = 22206087747455777568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3332122992 and 3332123010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332123021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1185250 + ... + 1188057.

Almost surely, 23332123028 is an apocalyptic number.

It is an amenable number.

3332123028 is an abundant number, since it is smaller than the sum of its proper divisors (5971244332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3332123028 is a wasteful number, since it uses less digits than its factorization.

3332123028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373333 (or 2373325 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3332123028 is about 57724.5444156989. The cubic root of 3332123028 is about 1493.6207646973.

The spelling of 3332123028 in words is "three billion, three hundred thirty-two million, one hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 2373307 4746614 7119921 9493228 14239842 21359763 28479684 30852991 42719526 61705982 64079289 85439052 92558973 123411964 128158578 185117946 256317156 277676919 370235892 555353838 833030757 1110707676 1666061514 3332123028